document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=583259>Question 583259</A>: <I><SPAN STYLE=\"word-break: break-all;\"> i need help but its writing equations parallel or perpendicular to a line.\r<BR>\n" );
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document.write( "give the standard form of the equation of the line that is perpendicular to 4x+8y=1 and contains (-5,4) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #372401 by </B><A HREF=/tutors/aboutme.mpl?userid=computergeek008><B>computergeek008(7)</B></A><img src=\"/images/stars/stars-05.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=computergeek008><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=computergeek008><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=372401\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Give the standard form of the equation of the line that is perpendicular to 4x+8y=1 and contains (-5,4)\r<BR>\n" );
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document.write( "If a line is perpendicular to another line, that means it will have a negative reciprocal slope. \r<BR>\n" );
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document.write( "If we rearrange the equation of the given line into the slope-intercept form (y=mx+b), we can find the slope of the given line.\r<BR>\n" );
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document.write( "4x+8y = 1<BR>\n" );
document.write( "8y = -4x+1<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+%28-1%2F2%29x+%2B+1%2F8 ALIGN=MIDDLE  ALT=\"y+=+%28-1%2F2%29x+%2B+1%2F8\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So the slope of the given line is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-1%2F2 ALIGN=MIDDLE  ALT=\"-1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Since a line that is perpendicular to it will have a negative reciprocal slope, then that means the other line will have a slope of 2.\r<BR>\n" );
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document.write( "Now that we know the slope and a point on the line, use the point-slope formula <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y-y1+=+m%28x-x1%29 ALIGN=MIDDLE  ALT=\"y-y1+=+m%28x-x1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > to find the equation:\r<BR>\n" );
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document.write( "y-4 = 2(x-(-5))<BR>\n" );
document.write( "y-4 = 2x + 10<BR>\n" );
document.write( "y = 2x + 14\r<BR>\n" );
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document.write( "or in standard form:<BR>\n" );
document.write( "-2x+y = 14 </SPAN>\n" );
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